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Finding the Third Proportional to 1,643,561,581 and 3,519,844,544

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Solution

The third proportional to 1,643,561,581 and 3,519,844,544 is: 7,538,084,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,561,581 : 3,519,844,544 = 3,519,844,544 : x
  2. Step 2: Convert to fraction form
    1,643,561,581/3,519,844,544 = 3,519,844,544/x
  3. Step 3: Cross multiply
    1,643,561,581x = 3,519,844,544 × 3,519,844,544
  4. Step 4: Simplify right side
    1,643,561,581x = 12,389,305,613,926,567,936
  5. Step 5: Solve for x
    x = 12,389,305,613,926,567,936/1,643,561,581
  6. Step 6: Final answer
    x = 7,538,084,217.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.